We describe a simple variance component model for estimating the effect of mitochondrial DNA (mtDNA) inheritance on quantitative trait variation. The model is applied to quantitative trait Q5 in the simulated general population data from Genetic Analysis Workshop (GAW) 12. Although the mitochondrial effect on Q5 is small (5.3%) and the power of the method to detect the effect is correspondingly low, analysis over the available population replicates demonstrates that the effect of maternal relatedness can be detected and estimated accurately.